Explainer Articles

In-depth explanations of AI concepts, architectures, and principles. Educational content that breaks down complex topics into understandable insights.

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Branching classification tree with split pathways representing hallucination taxonomy categories
MONA explainer 10 min

Intrinsic vs. Extrinsic, Closed vs. Open Domain: The Taxonomy and Prerequisites of LLM Hallucination

LLM hallucination isn't one problem — it's four. Learn the intrinsic vs. extrinsic taxonomy, the domain split, and the …

Probability distribution branching into confident but factually diverging output paths from a language model
MONA explainer 9 min

What Is AI Hallucination and How Statistical Next-Token Prediction Creates Confident Falsehoods

AI hallucinations aren't bugs — they emerge from how next-token prediction works. Learn why LLMs produce confident …

Mathematical proof that language model hallucination cannot be eliminated, showing fundamental limits of autoregressive
MONA explainer 9 min

Why Zero-Hallucination LLMs Remain Impossible: Autoregressive Limits and Benchmark Ceilings in 2026

LLM hallucination is mathematically inevitable. Explore the autoregressive limits, benchmark ceilings, and why …

Token sequences flowing through GPU memory blocks with active slots recycling while idle slots wait for reallocation
MONA explainer 11 min

From Static Batching to PagedAttention: Prerequisites and Hard Limits of Continuous Batching

Continuous batching swaps finished LLM requests every decode step. Learn how PagedAttention cuts KV cache waste to under …

GPU scheduling pipeline visualization showing requests entering and leaving batch slots at each forward-pass iteration
MONA explainer 10 min

What Is Continuous Batching and How Iteration-Level Scheduling Maximizes GPU Throughput

Continuous batching replaces request-level scheduling with iteration-level scheduling, keeping GPUs busy on every …

Precision grid transitioning from smooth high-bit gradients to fragmented low-bit patterns with visible accuracy gaps
MONA explainer 10 min

Accuracy Collapse, Task-Specific Degradation, and the Hard Limits of Sub-4-Bit Quantization

Sub-4-bit quantization promises smaller LLMs, but accuracy collapses unevenly across tasks and languages. Learn where …

Weight matrix grid transitioning from high to low precision with format labels and accuracy indicators
MONA explainer 11 min

GPTQ vs AWQ vs GGUF vs bitsandbytes: Quantization Formats and Their Tradeoffs Explained

GPTQ, AWQ, GGUF, and bitsandbytes each shrink LLM weights differently. Compare speed, accuracy, and hardware reach to …

Probability curves shifting between sharp peaks and flat noise as a temperature dial moves between repetition and
MONA explainer 12 min

Repetition Loops, Hallucination Spikes, and the Hard Limits of Sampling Parameter Tuning

Wrong sampling parameters trap LLMs in repetition loops or hallucination. Trace the probability math behind both failure …

Abstract visualization of memory blocks flowing through a transformer attention layer during token generation
MONA explainer 11 min

KV-Cache, PagedAttention, and the Building Blocks Every LLM Inference Pipeline Needs

KV-cache, PagedAttention, and continuous batching form the inference pipeline core. Learn how memory management …

Abstract visualization of memory blocks fragmenting across GPU architecture with quadratic growth curves overlaid
MONA explainer 10 min

Memory Walls, Quadratic Context Costs, and the Hard Engineering Limits of LLM Inference in 2026

LLM inference hits hard physical walls — memory, quadratic attention, bandwidth. Learn the engineering limits and 2026 …

Abstract visualization of tokens flowing sequentially through a neural network during autoregressive decoding
MONA explainer 11 min

What Is Model Inference and How LLMs Generate Text Through Autoregressive Decoding

Model inference generates LLM text one token at a time via autoregressive decoding. Learn why this sequential bottleneck …

Diverging optimization curves where proxy reward climbs while gold reward collapses past a critical threshold
MONA explainer 10 min

From Loss Functions to Reward Hacking: Prerequisites and Technical Limits of Reward Models

Reward models compress human preference into a scalar signal. Learn the Bradley-Terry math, the RLHF pipeline, and why …

Overlapping automated and human search beams with a dark gap between them representing red teaming coverage limits
MONA explainer 10 min

Automated Red Teaming Misses What Humans Catch: Coverage Gaps

Automated red teaming outperforms human testing but misses critical failures. Coverage gaps explain why automated …

Probability distributions carved into different geometric shapes by four sampling filters applied in sequence
MONA explainer 10 min

Top-K, Top-P, Min-P, and Beam Search: Every LLM Sampling Method Compared

Compare top-k, top-p, min-p, and beam search LLM sampling methods. Learn how each reshapes probability distributions and …

MONA examining neural network weights being compressed from wide floating-point blocks into compact integer representations
MONA explainer 10 min

What Is Quantization and How FP32-to-INT4 Compression Makes LLMs Run on Consumer Hardware

Quantization compresses LLM weights from FP32 to INT4, cutting memory up to 8x. Learn how GPTQ, AWQ, and calibration …

Geometric visualization of pairwise preference comparisons converging into a scalar reward signal for LLM alignment
MONA explainer 11 min

What Is Reward Model Architecture and How Bradley-Terry Scoring Shapes LLM Alignment

Reward models turn human preferences into scores that guide LLM alignment. Learn how Bradley-Terry scoring and pairwise …

Probability distribution curves shifting shape as a temperature dial turns from cold precision to warm randomness
MONA explainer 10 min

What Is Temperature in LLMs and How Softmax Scaling Controls Text Generation Randomness

Temperature divides logits before softmax, reshaping the token probability distribution. Learn how this parameter, …

Geometric visualization of power-law curves approaching asymptotic ceilings on a logarithmic grid
MONA explainer 11 min

Diminishing Returns, Data Exhaustion, and the Hard Technical Limits of Neural Scaling

Scaling laws predict how AI models improve with compute, but power-law exponents guarantee diminishing returns. Learn …

Power-law curves on logarithmic axes showing predictable scaling patterns across neural network model sizes
MONA explainer 10 min

What Are Scaling Laws and How Power-Law Curves Predict LLM Performance

Scaling laws predict LLM performance from model size, data, and compute via power-law curves. Learn the math behind …

Diagram showing the three-stage RLHF training pipeline with reward signal flows and KL divergence constraint loops
MONA explainer 10 min

From Reward Modeling to KL Penalties: Every Stage of the RLHF Training Pipeline Explained

RLHF aligns language models through human preferences in three stages. Learn how reward models, PPO, and KL penalties …

Abstract diverging optimization paths visualizing reward signal failure during RLHF alignment training
MONA explainer 10 min

Reward Hacking, Mode Collapse, and the Unsolved Technical Limits of RLHF Alignment

Reward hacking, mode collapse, and KL divergence failure — the three unsolved technical limits of RLHF alignment and why …

Human preference rankings flowing through a reward model to reshape large language model alignment
MONA explainer 10 min

What Is RLHF and How Human Preferences Train Large Language Models to Follow Instructions

RLHF uses human preferences and reward models to train language models to follow instructions. Learn the three-stage PPO …

Data flowing through filtering and deduplication stages into a distributed training cluster producing model checkpoints
MONA explainer 10 min

From Data Curation to Checkpoints: The Building Blocks of a Modern Pre-Training Pipeline

Pre-training pipelines run from data curation to checkpointing. Learn how FineWeb, Dolma, and Megatron-Core build the …

Abstract visualization of exponential compute curves flattening against a finite data boundary
MONA explainer 10 min

Scaling Walls, Data Exhaustion, and the Technical Limits of Pre-Training in 2026

Pre-training compute grows 4-5x yearly while data runs out. Learn the three scaling walls — cost, data exhaustion, and …

Neural network absorbing streams of raw text as layered language structure crystallizes from prediction patterns
MONA explainer 9 min

What Is Pre-Training and How LLMs Learn Language from Raw Text at Scale

Pre-training teaches LLMs to predict text, not understand it — yet prediction at scale produces something that resembles …

Neural network weight connections fracturing as new training data overwrites prior knowledge during model adaptation
MONA explainer 10 min

Catastrophic Forgetting, Overfitting, and the Hard Technical Limits of LLM Fine-Tuning

Fine-tuning can destroy what your LLM already knows. Learn why catastrophic forgetting and overfitting define the hard …

Weight matrices with highlighted low-rank decomposition pathways showing parameter-efficient adaptation of a large language
MONA explainer 10 min

LoRA vs. QLoRA vs. Full Fine-Tuning: Methods, Trade-Offs, and What You Need to Know First

LoRA, QLoRA, and full fine-tuning each change different parts of an LLM. Learn which method fits your GPU budget, data …

Weight matrices with gradient arrows converging toward a specialized probability distribution for task-specific outputs
MONA explainer 10 min

What Is Fine-Tuning and How Gradient Updates Adapt Pre-Trained LLMs to Specific Tasks

Fine-tuning adapts pre-trained LLMs by updating weights on task-specific data. Learn how gradient descent reshapes model …

Geometric visualization of sentence embedding vectors collapsing into a narrow cone in high-dimensional space
MONA explainer 11 min

From Cosine Similarity to Anisotropy: Prerequisites and Hard Limits of Sentence-Level Embeddings

Sentence Transformers encode meaning as geometry. Learn the prerequisites, token limits, and anisotropy traps that …

Geometric visualization of sentence vectors converging in embedding space through contrastive learning
MONA explainer 9 min

What Is Sentence Transformers and How Contrastive Learning Produces Sentence-Level Embeddings

Sentence Transformers turns transformers into sentence encoders via contrastive learning. Covers bi-encoders, loss …